ACT Math 6.5 Pre-Algebra
ACT Math: Pre-Algebra Drill 6, Problem 5. If one more data value of 55 is added to the data set, which values will change?
|Foreign Language||Arabic Subtitled|
|Pre-Algebra||Data collection, representation, and interpretation|
Simple descriptive statistics (mean, median, mode, range)
|Product Type||ACT Math|
|Statistics||Mean, Median, and Mode|
Well, if we solved the previous problem, we know that the mean
of the original data set is 54...
...and the median and mode are both 55.
Okay, so the new 55 is going to stir the pot a bit.
But before we spend a ton of time doing a bunch more math, let's look at this logically.
Our median, the middle number... won't change.
55 was our median before, and since we're adding another one... it'll still be 55.
Same thing with mode. We already had more 55's than any other number... so adding
one more to the mix certainly won't change things.
Our mean was 54 in the last problem... by adding a 55, our mean is destined to go up
So our answer is A.
As in, "All wet."